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      Testing for Wilson's quantum field theory in less than 4 dimensions

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          Abstract

          Wilson's quantum field theory (QFT) in less than 4 dimensions has achieved a great success in the study of critical phenomenon but is still not tested within the scope of particle physics. To guarantee the validity of Wilson's QFT in less than 4 dimensions, Newton–Leibniz's differential-integral formulas must be extended to the noninteger dimensional situation. We show that this leads to a new prediction that Planck's constant will be expressed in terms of three fundamental constants: critical time scale, dimension of time axis, and total energy of universe. We propose the corresponding methods to measure these three constants. It will be thus interesting to compare the well-known value of Planck's constant with the potential theoretical value consisting of three fundamental constants.

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          Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC

           the ATLAS Collaboration,  Andrea Ventura,  Hucheng Chen … (2012)
          A search for the Standard Model Higgs boson in proton-proton collisions with the ATLAS detector at the LHC is presented. The datasets used correspond to integrated luminosities of approximately 4.8 fb^-1 collected at sqrt(s) = 7 TeV in 2011 and 5.8 fb^-1 at sqrt(s) = 8 TeV in 2012. Individual searches in the channels H->ZZ^(*)->llll, H->gamma gamma and H->WW->e nu mu nu in the 8 TeV data are combined with previously published results of searches for H->ZZ^(*), WW^(*), bbbar and tau^+tau^- in the 7 TeV data and results from improved analyses of the H->ZZ^(*)->llll and H->gamma gamma channels in the 7 TeV data. Clear evidence for the production of a neutral boson with a measured mass of 126.0 +/- 0.4(stat) +/- 0.4(sys) GeV is presented. This observation, which has a significance of 5.9 standard deviations, corresponding to a background fluctuation probability of 1.7x10^-9, is compatible with the production and decay of the Standard Model Higgs boson.
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            Critical Exponents in 3.99 Dimensions

             Kenneth G. Wilson,  Michael E. Fisher (1972)
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              Quantum Gravity at a Lifshitz Point

               Petr Horava (2009)
              We present a candidate quantum field theory of gravity with dynamical critical exponent equal to z=3 in the UV. (As in condensed matter systems, z measures the degree of anisotropy between space and time.) This theory, which at short distances describes interacting nonrelativistic gravitons, is power-counting renormalizable in 3+1 dimensions. When restricted to satisfy the condition of detailed balance, this theory is intimately related to topologically massive gravity in three dimensions, and the geometry of the Cotton tensor. At long distances, this theory flows naturally to the relativistic value z=1, and could therefore serve as a possible candidate for a UV completion of Einstein's general relativity or an infrared modification thereof. The effective speed of light, the Newton constant and the cosmological constant all emerge from relevant deformations of the deeply nonrelativistic z=3 theory at short distances.
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                Author and article information

                Contributors
                Journal
                Journal ID (publisher-id): SOR-PHYS
                Title: ScienceOpen Research
                Publisher: ScienceOpen
                ISSN (Electronic): 2199-1006
                Publication date: 26 February 2015
                Volume: 0 (ID: 1558a028-a700-4087-8748-85359a56820e )
                Issue: 0
                Pages: 1-27
                Affiliations
                [1 ]College of Economics and Management, Southwest University, Chongqing, China
                Author notes
                [* ]Corresponding author's e-mail address: taoyingyong@ 123456yahoo.com
                Article
                Publisher ID: 2476:XE
                DOI: 10.14293/S2199-1006.1.SOR-PHYS.A7OCK4.v1
                Copyright statement: © 2014 Y. Tao.
                License:

                This work has been published open access under Creative Commons Attribution License CC BY 4.0 , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Conditions, terms of use and publishing policy can be found at www.scienceopen.com .

                Page count
                Figures: 0, Tables: 2, References: 27, Pages: 6
                Product
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                Subject: Original article

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                ScienceOpen disciplines: Quantum physics & Field theory

                Keywords: Planck’s constant, Ultraviolet fixed point, Fractional dimension, Quantum field theory

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